BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 67 Sayı: 2, 264 - 281, 01.08.2018

Öz

Kaynakça

  • [1] Ali, A., Othman W. A. M. and Ozel, C., Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds, Journal of Inequalities and Its Applications 1(2015), 1-7, DOI-10.1186/s13660-015-0802-5.
  • [2] Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 39(1996), 183-198.
  • [3] Chen, B.Y., Geometry of Slant Submanifold, Kath. ‹niv. Leuven, Dept. of Mathematics, Leuven, 1990.
  • [4] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc. 41(1990), 135-147.
  • [5] Cabrerizo, J. L., Carriazo, A., Fernandez L.M., and Fernandez, M., Structure on a slant submanifold of a contact manifold, Indian J. Pure Appl. Math. 31(2000), 857-864.
  • [6] Cabrerizo, J. L., Carriazo, A., Fernandez L. M, and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math. J. 42(2000)
  • [7] Khan, M. A., Uddin S. and Singh, K., A classiÖcation on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Di§ erential GeometryDynamical Systems, Vol.13(2011), 117-127.
  • [8] AtÁeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds. International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 304647, 11 pages doi:10.1155/2012/304647.
  • [9] AtÁeken M. and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS)n-manifolds, Czechoslovak M. J, 63(138)(2013), 177-190.
  • [10] AtÁeken, M. and Dirik, S., On the geometry of pseudo-slant submanifolds of a Kenmotsu manifold, Gulf Joural of Mathematics 2(2)(2014), 51-66.
  • [11] AtÁeken, M. and Dirik, S., Pseudo-slant submanifolds of nearly Kenmotsu manifold. Serdica Mathematical Journal 41, 243-262,(2015).
  • [12] Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40(2009), 55-61.rr
  • [13] Dirik S. and AtÁeken, M., Pseudo-slant submanifolds of nearly Cosymplectic manifold, Turkish Journal of Mathematics and Computer Science, vol. 2014. Article ID 20140035, 14 pages, (2013).
  • [14] Uddin, S., Ozel, C., Khan M. A. and Singh, K., Some classiÖcation result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, International Journal of Physical Scienses, Vol. 7(40)(2012), 5538-5544.
  • [15] Uddin, S., Bernardine, R., Wong and Mustafa, A. A., Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold, Hindawi Publishing Corporation Abstract and Applied Analysis, Volume, Article ID 420890, 13 pp, doi:10.1155/2012/420890 (2012).
  • [16] Khan V. A. and Khan, M. A., Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math. 38(1)(2007), 31-42.

ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD

Yıl 2018, Cilt: 67 Sayı: 2, 264 - 281, 01.08.2018

Öz

Abstract. In this paper, we study the pseudo-slant submanifolds of a nearly
Sasakian manifold. We characteterize a totally umbilical properpseudo-slant
submanifolds and Önd that a necessary and su¢ cient condition for such submanifolds
totally geodesic. Also the integrability conditions of distributions of
pseudo-slant submanifolds of a nearly Sasakian manifold are investigated

Kaynakça

  • [1] Ali, A., Othman W. A. M. and Ozel, C., Some inequalities for warped product pseudo-slant submanifolds of nearly Kenmotsu manifolds, Journal of Inequalities and Its Applications 1(2015), 1-7, DOI-10.1186/s13660-015-0802-5.
  • [2] Lotta, A., Slant submanifolds in contact geometry, Bull. Math. Soc. Sci. Math. Roum., Nouv. Ser. 39(1996), 183-198.
  • [3] Chen, B.Y., Geometry of Slant Submanifold, Kath. ‹niv. Leuven, Dept. of Mathematics, Leuven, 1990.
  • [4] Chen, B. Y., Slant immersions, Bull. Austral. Math. Soc. 41(1990), 135-147.
  • [5] Cabrerizo, J. L., Carriazo, A., Fernandez L.M., and Fernandez, M., Structure on a slant submanifold of a contact manifold, Indian J. Pure Appl. Math. 31(2000), 857-864.
  • [6] Cabrerizo, J. L., Carriazo, A., Fernandez L. M, and Fernandez, M., Slant Submanifolds in Sasakian manifolds, Glasgow Math. J. 42(2000)
  • [7] Khan, M. A., Uddin S. and Singh, K., A classiÖcation on totally umbilical proper slant and hemi-slant submanifolds of a nearly trans-Sasakian manifold, Di§ erential GeometryDynamical Systems, Vol.13(2011), 117-127.
  • [8] AtÁeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds. International Journal of Mathematics and Mathematical Sciences Volume 2012, Article ID 304647, 11 pages doi:10.1155/2012/304647.
  • [9] AtÁeken M. and Hui, S. K., Slant and Pseudo-Slant Submanifolds in (LCS)n-manifolds, Czechoslovak M. J, 63(138)(2013), 177-190.
  • [10] AtÁeken, M. and Dirik, S., On the geometry of pseudo-slant submanifolds of a Kenmotsu manifold, Gulf Joural of Mathematics 2(2)(2014), 51-66.
  • [11] AtÁeken, M. and Dirik, S., Pseudo-slant submanifolds of nearly Kenmotsu manifold. Serdica Mathematical Journal 41, 243-262,(2015).
  • [12] Papaghuic, N., Semi-slant submanifolds of a Kaehlarian manifold, An. St. Univ. Al. I. Cuza. Univ. Iasi. 40(2009), 55-61.rr
  • [13] Dirik S. and AtÁeken, M., Pseudo-slant submanifolds of nearly Cosymplectic manifold, Turkish Journal of Mathematics and Computer Science, vol. 2014. Article ID 20140035, 14 pages, (2013).
  • [14] Uddin, S., Ozel, C., Khan M. A. and Singh, K., Some classiÖcation result on totally umbilical proper slant and hemi slant submanifolds of a nearly Kenmotsu manifold, International Journal of Physical Scienses, Vol. 7(40)(2012), 5538-5544.
  • [15] Uddin, S., Bernardine, R., Wong and Mustafa, A. A., Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold, Hindawi Publishing Corporation Abstract and Applied Analysis, Volume, Article ID 420890, 13 pp, doi:10.1155/2012/420890 (2012).
  • [16] Khan V. A. and Khan, M. A., Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math. 38(1)(2007), 31-42.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA35KU37RK
Bölüm Araştırma Makalesi
Yazarlar

Süleyman Dirik Bu kişi benim

Mehmet Atçeken Bu kişi benim

Ümit Yıldırım Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2018
Gönderilme Tarihi 1 Ağustos 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 67 Sayı: 2

Kaynak Göster

APA Dirik, S., Atçeken, M., & Yıldırım, Ü. (2018). ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 264-281.
AMA Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2018;67(2):264-281.
Chicago Dirik, Süleyman, Mehmet Atçeken, ve Ümit Yıldırım. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, sy. 2 (Ağustos 2018): 264-81.
EndNote Dirik S, Atçeken M, Yıldırım Ü (01 Ağustos 2018) ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 264–281.
IEEE S. Dirik, M. Atçeken, ve Ü. Yıldırım, “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 67, sy. 2, ss. 264–281, 2018.
ISNAD Dirik, Süleyman vd. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (Ağustos 2018), 264-281.
JAMA Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:264–281.
MLA Dirik, Süleyman vd. “ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 67, sy. 2, 2018, ss. 264-81.
Vancouver Dirik S, Atçeken M, Yıldırım Ü. ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):264-81.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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